1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/reducibility/fpr_fpr.ma".
16 include "basic_2/computation/fprs.ma".
18 (* CONTEXT-FREE PARALLEL COMPUTATION ON CLOSURES ****************************)
20 (* Advanced properties ******************************************************)
22 lemma fprs_strip: ∀L0,L1,T0,T1. ⦃L0, T0⦄ ➡ ⦃L1, T1⦄ →
23 ∀L2,T2. ⦃L0, T0⦄ ➡* ⦃L2, T2⦄ →
24 ∃∃L,T. ⦃L1, T1⦄ ➡* ⦃L, T⦄ & ⦃L2, T2⦄ ➡ ⦃L, T⦄.
25 #H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8
28 (* Main propertis ***********************************************************)
30 theorem fprs_conf: bi_confluent … fprs.
33 theorem fprs_trans: bi_transitive … fprs.